Comment on ''Quasinormal modes in Schwarzschild-de Sitter spacetime: A simple derivation of the level spacing of the frequencies''

Journal Article · Sun May 15 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.108501· OSTI ID:21502668

Batic, D ^[1]; Kelkar, N G; Nowakowski, M ^[2]

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1. Department of Mathematics, University of the West Indies, Kingston 6 (Jamaica)
2. Departamento de Fisica, Universidad de los Andes, Carrera 1E Numero 18A-10, Bogota (Colombia)

It is shown here that the extraction of quasinormal modes within the first Born approximation of the scattering amplitude is mathematically not well-founded. Indeed, the constraints on the existence of the scattering amplitude integral lead to inequalities for the imaginary parts of the quasinormal mode frequencies. For instance, in the Schwarzschild case, 0{<=}{omega}{sub I}<{kappa} (where {kappa} is the surface gravity at the horizon) invalidates the poles deduced from the first Born approximation method, namely, {omega}{sub n}=in{kappa}.

• OSTI ID: 21502668
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 10; Other Information: DOI: 10.1103/PhysRevD.83.108501; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BORN APPROXIMATION
DE SITTER SPACE
EXTRACTION
GRAVITATION
SCATTERING AMPLITUDES
SCHWARZSCHILD METRIC
SPACE-TIME
SURFACES
AMPLITUDES
APPROXIMATIONS
CALCULATION METHODS
MATHEMATICAL SPACE
METRICS
SEPARATION PROCESSES
SPACE